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Simplifying 3(2y + -5) = 6 + 2(y + -3) Reorder the terms: 3(-5 + 2y) = 6 + 2(y + -3) (-5 * 3 + 2y * 3) = 6 + 2(y + -3) (-15 + 6y) = 6 + 2(y + -3) Reorder the terms: -15 + 6y = 6 + 2(-3 + y) -15 + 6y = 6 + (-3 * 2 + y * 2) -15 + 6y = 6 + (-6 + 2y) Combine like terms: 6 + -6 = 0 -15 + 6y = 0 + 2y -15 + 6y = 2y Solving -15 + 6y = 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -15 + 6y + -2y = 2y + -2y Combine like terms: 6y + -2y = 4y -15 + 4y = 2y + -2y Combine like terms: 2y + -2y = 0 -15 + 4y = 0 Add '15' to each side of the equation. -15 + 15 + 4y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 4y = 0 + 15 4y = 0 + 15 Combine like terms: 0 + 15 = 15 4y = 15 Divide each side by '4'. y = 3.75 Simplifying y = 3.75
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